Atlas2,759 of 3,942

Moth region HS.337

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.337 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 326.02 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits from the moth-like part of the search domain, between the figure-eight and the Schubart regions. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000541 of each other at a top speed of 43, line up 328 times a period, and the computed loop closes to 5.1×10⁻²⁵.

Measured over one period

Period: 326.0182134
Masses: 1 : 1 : 1
Energy: -1.33091
Angular momentum: 0
Closest approach: 5.4×10⁻⁴
Top speed: 43.00
Path length: 820.06
Alignments per period: 328
Topology: abaBAbaBAbabABabABabaBAbaBABabABabABAbaBAbabABabABabaBAbaBABabABabABAbaBAbabABabABabaBAbaBABabABabABAbaBAbabABabABabaBAbaBAbabABabABAbaBAbaBABabABabaBAbaBAbabABabABAbaBAbaBABabABabaBAbaBAbabABabABAbaBAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.1×10⁻²⁵

Neighbours on the map

All Moth region, the families of periodic three-body orbits, or the atlas map.